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Low Mach number limit of the full compressible Hall-MHD system

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In this paper we study the low Mach number limit of the full compressible Hall-magnetohydrodynamic (Hall-MHD) system in \begin{document}$\mathbb{T}^3$\end{document} . We prove that, as the Mach number tends to zero,… Click to show full abstract

In this paper we study the low Mach number limit of the full compressible Hall-magnetohydrodynamic (Hall-MHD) system in \begin{document}$\mathbb{T}^3$\end{document} . We prove that, as the Mach number tends to zero, the strong solution of the full compressible Hall-MHD system converges to that of the incompressible Hall-MHD system.

Keywords: mhd system; hall; mach number; hall mhd

Journal Title: Communications on Pure and Applied Analysis
Year Published: 2017

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